11733420828528 has 240 divisors, whose sum is σ = 37696703256576. Its totient is φ = 3337377984000.

The previous prime is 11733420828527. The next prime is 11733420828539. The reversal of 11733420828528 is 82582802433711.

11733420828528 is a `hidden beast` number, since 1 + 1 + 7 + 3 + 34 + 2 + 0 + 82 + 8 + 528 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11733420828527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 558378150 + ... + 558399162.

Almost surely, 2^{11733420828528} is an apocalyptic number.

11733420828528 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11733420828528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18848351628288).

11733420828528 is an abundant number, since it is smaller than the sum of its proper divisors (25963282428048).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11733420828528 is a wasteful number, since it uses less digits than its factorization.

11733420828528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23492 (or 23483 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 11733420828528 in words is "eleven trillion, seven hundred thirty-three billion, four hundred twenty million, eight hundred twenty-eight thousand, five hundred twenty-eight".